Let $\mathrm{A}=\{1,2,3, \ldots .7\}$ and let $\mathrm{P}(1)$ denote the power set of $A$. If the number of functions $\mathrm{f}: \mathrm{A} \rightarrow \mathrm{P}(\mathrm{A})$ such that $a \in f(a), \forall a \in A$ is $m^n, m$ and $n \in N$ and $m$ is least, then $m+n$ is equal to
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